The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1  1
 0  X  0  0  0  X  X  X a*X  0  X a*X a*X a*X a*X  X a*X a^5*X a^2*X a^3*X a^4*X a*X a^2*X a^6*X a^6*X  X a^5*X a^4*X  X a^4*X a*X  0
 0  0  X  0  0 a^6*X a^5*X a^4*X a^4*X  X a^3*X a^6*X  0  X a^5*X a^2*X a*X a^6*X a^2*X a^3*X  X  X  X a^3*X a^4*X a^3*X a*X a^2*X a*X a^5*X a^6*X  X
 0  0  0  X  0  X a^5*X a*X a^3*X a^2*X a^6*X  0 a^5*X  X a*X a^4*X a^4*X a^4*X a^4*X  0 a^5*X a^5*X a*X a^4*X  0 a^5*X a^2*X a^2*X a*X a*X  X a^6*X
 0  0  0  0  X a^6*X a^3*X a*X a^5*X a*X a^2*X a^2*X a^3*X  0 a*X  0 a^2*X a^4*X a^5*X  X a^2*X a^6*X a^6*X a^5*X a^4*X  X a^4*X a^2*X a^4*X  0 a*X  0

generates a code of length 32 over F8[X]/(X^2) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+168x^184+1183x^192+2268x^200+3654x^208+3584x^210+4704x^216+50176x^218+6552x^224+175616x^226+6860x^232+4914x^240+2128x^248+336x^256

The gray image is a linear code over GF(8) with n=256, k=6 and d=184.
This code was found by Heurico 1.16 in 17.5 seconds.